Pith Number

pith:QYF5LSYB

pith:2016:QYF5LSYBMRHPOXUKJMOLKHYHUA

not attested not anchored not stored refs pending

Computing DM-decomposition of a partitioned matrix with rank-1 blocks

Hiroshi Hirai

arxiv:1609.01934 v2 · 2016-09-07 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QYF5LSYBMRHPOXUKJMOLKHYHUA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:23:09.365064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

860bd5cb01644ef75e8a4b1cb51f07a01657768797f1edeab903c8288800eb47

Aliases

arxiv: 1609.01934 · arxiv_version: 1609.01934v2 · doi: 10.48550/arxiv.1609.01934 · pith_short_12: QYF5LSYBMRHP · pith_short_16: QYF5LSYBMRHPOXUK · pith_short_8: QYF5LSYB

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QYF5LSYBMRHPOXUKJMOLKHYHUA \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 860bd5cb01644ef75e8a4b1cb51f07a01657768797f1edeab903c8288800eb47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "939455ea6a225031b9b9e9df38143ee73d95cb2ca28561a95724829e03a30f1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-07T10:59:59Z",
    "title_canon_sha256": "b1e830d2566a609b6ad91a636f3f828c7ddbedfd03578c38c75ab32c7ae6c00c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01934",
    "kind": "arxiv",
    "version": 2
  }
}